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Finding the Fourth Proportional to 315,012, 472,518 and 81,540

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Solution

The fourth proportional to 315,012, 472,518 and 81,540 is: 122,310

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,012 : 472,518 = 81,540 : x
  2. Step 2: Convert to fraction form
    315,012/472,518 = 81,540/x
  3. Step 3: Cross multiply
    315,012x = 472,518 × 81,540
  4. Step 4: Simplify right side
    315,012x = 38,529,117,720
  5. Step 5: Solve for x
    x = 38,529,117,720/315,012
  6. Step 6: Final answer
    x = 122,310

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.